Abstract
Stability of efficient operation at one of high‐order modes is of great importance for the development of megawatt‐level gyrotrons intended for plasma experiments in controlled fusion reactors. Typically such gyrotrons operate at modes with large azimuthal indices, which form a rather dense spectrum of eigenfrequencies. Therefore, instead of considering interaction of electrons with a large number of such modes it is more convenient to analyze the spatial‐temporal evolution of an envelope formed by a superposition of these modes with the electrons. In all previous studies of stability of such envelopes it was assumed that some kind of azimuthal nonuniformity is present in the initial condition for the wave envelope. However, the physical reason for this nonuniformity, which is apparently the nonuniformity of the electron emission, was not analyzed. In the present paper, the relation between the emission nonuniformity and resulting nonuniformity of the wave envelope is established. Then, results of numeric...
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